TSTP Solution File: SET890+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:56:51 EDT 2022
% Result : Theorem 0.57s 1.41s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 09:35:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.57/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/1.42
% 0.57/1.42 %-----------------------------------------------------
% 0.57/1.42 fof(t31_zfmisc_1, conjecture, ! [_29577] : union(singleton(_29577)) = _29577, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t31_zfmisc_1)).
% 0.57/1.42 fof(d1_tarski, axiom, ! [_29765, _29768] : (_29768 = singleton(_29765) <=> ! [_29786] : (in(_29786, _29768) <=> _29786 = _29765)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.57/1.42 fof(d4_tarski, axiom, ! [_29991, _29994] : (_29994 = union(_29991) <=> ! [_30012] : (in(_30012, _29994) <=> ? [_30030] : (in(_30012, _30030) & in(_30030, _29991)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 0.57/1.42
% 0.57/1.42 cnf(1, plain, [union(singleton(8 ^ [])) = 8 ^ []], clausify(t31_zfmisc_1)).
% 0.57/1.42 cnf(2, plain, [_8497 = _8546, -(singleton(_8497) = singleton(_8546))], theory(equality)).
% 0.57/1.42 cnf(3, plain, [_8816 = _8865, -(union(_8816) = union(_8865))], theory(equality)).
% 0.57/1.42 cnf(4, plain, [-(_5977 = _5977)], theory(equality)).
% 0.57/1.42 cnf(5, plain, [_6130 = _6175, -(_6175 = _6130)], theory(equality)).
% 0.57/1.42 cnf(6, plain, [-(in(_7281, _7412)), in(_7214, _7347), _7214 = _7281, _7347 = _7412], theory(equality)).
% 0.57/1.42 cnf(7, plain, [_9980 = singleton(_9922), in(_10112, _9980), -(_10112 = _9922)], clausify(d1_tarski)).
% 0.57/1.42 cnf(8, plain, [_9980 = singleton(_9922), -(in(_10112, _9980)), _10112 = _9922], clausify(d1_tarski)).
% 0.57/1.42 cnf(9, plain, [_10933 = union(_10864), in(_11076, _10933), -(in(_11076, 3 ^ [_11076, _10933, _10864]))], clausify(d4_tarski)).
% 0.57/1.42 cnf(10, plain, [_10933 = union(_10864), in(_11076, _10933), -(in(3 ^ [_11076, _10933, _10864], _10864))], clausify(d4_tarski)).
% 0.57/1.42 cnf(11, plain, [_10933 = union(_10864), -(in(_11076, _10933)), in(_11076, _11195), in(_11195, _10864)], clausify(d4_tarski)).
% 0.57/1.42 cnf(12, plain, [-(_10933 = union(_10864)), -(in(4 ^ [_10933, _10864], _10933)), -(in(4 ^ [_10933, _10864], 5 ^ [_10933, _10864]))], clausify(d4_tarski)).
% 0.57/1.42 cnf(13, plain, [-(_10933 = union(_10864)), -(in(4 ^ [_10933, _10864], _10933)), -(in(5 ^ [_10933, _10864], _10864))], clausify(d4_tarski)).
% 0.57/1.42 cnf(14, plain, [-(_10933 = union(_10864)), in(4 ^ [_10933, _10864], _10933), in(4 ^ [_10933, _10864], _13879), in(_13879, _10864)], clausify(d4_tarski)).
% 0.57/1.42
% 0.57/1.42 cnf('1',plain,[union(singleton(8 ^ [])) = 8 ^ []],start(1)).
% 0.57/1.42 cnf('1.1',plain,[-(union(singleton(8 ^ [])) = 8 ^ []), 8 ^ [] = union(singleton(8 ^ []))],extension(5,bind([[_6130, _6175], [8 ^ [], union(singleton(8 ^ []))]]))).
% 0.57/1.42 cnf('1.1.1',plain,[-(8 ^ [] = union(singleton(8 ^ []))), -(in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ [])), -(in(4 ^ [8 ^ [], singleton(8 ^ [])], 5 ^ [8 ^ [], singleton(8 ^ [])]))],extension(12,bind([[_10933, _10864], [8 ^ [], singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1',plain,[in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ []), union(singleton(8 ^ [])) = union(singleton(8 ^ [])), -(in(4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])))), in(8 ^ [], singleton(8 ^ []))],extension(11,bind([[_11076, _10933, _11195, _10864], [4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])), 8 ^ [], singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1.1',plain,[-(union(singleton(8 ^ [])) = union(singleton(8 ^ []))), singleton(8 ^ []) = singleton(8 ^ [])],extension(3,bind([[_8816, _8865], [singleton(8 ^ []), singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1.1.1',plain,[-(singleton(8 ^ []) = singleton(8 ^ [])), 8 ^ [] = 8 ^ []],extension(2,bind([[_8497, _8546], [8 ^ [], 8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.1.1.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_5977], [8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.1.2',plain,[in(4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ []))), union(singleton(8 ^ [])) = union(singleton(8 ^ [])), -(in(4 ^ [8 ^ [], singleton(8 ^ [])], 3 ^ [4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])), singleton(8 ^ [])]))],extension(9,bind([[_11076, _10933, _10864], [4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])), singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1.2.1',plain,[-(union(singleton(8 ^ [])) = union(singleton(8 ^ []))), singleton(8 ^ []) = singleton(8 ^ [])],extension(3,bind([[_8816, _8865], [singleton(8 ^ []), singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1.2.1.1',plain,[-(singleton(8 ^ []) = singleton(8 ^ []))],extension(4,bind([[_5977], [singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1.2.2',plain,[in(4 ^ [8 ^ [], singleton(8 ^ [])], 3 ^ [4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])), singleton(8 ^ [])]), -(8 ^ [] = union(singleton(8 ^ []))), in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ []), in(3 ^ [4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])), singleton(8 ^ [])], singleton(8 ^ []))],extension(14,bind([[_10933, _13879, _10864], [8 ^ [], 3 ^ [4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])), singleton(8 ^ [])], singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.1.2.2.1',plain,[8 ^ [] = union(singleton(8 ^ []))],reduction('1.1')).
% 0.57/1.42 cnf('1.1.1.1.2.2.2',plain,[-(in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ []))],reduction('1.1.1')).
% 0.57/1.42 cnf('1.1.1.1.2.2.3',plain,[-(in(3 ^ [4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])), singleton(8 ^ [])], singleton(8 ^ []))), union(singleton(8 ^ [])) = union(singleton(8 ^ [])), in(4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ [])))],extension(10,bind([[_10864, _11076, _10933], [singleton(8 ^ []), 4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ []))]]))).
% 0.57/1.42 cnf('1.1.1.1.2.2.3.1',plain,[-(union(singleton(8 ^ [])) = union(singleton(8 ^ [])))],extension(4,bind([[_5977], [union(singleton(8 ^ []))]]))).
% 0.57/1.42 cnf('1.1.1.1.2.2.3.2',plain,[-(in(4 ^ [8 ^ [], singleton(8 ^ [])], union(singleton(8 ^ []))))],reduction('1.1.1.1')).
% 0.57/1.42 cnf('1.1.1.1.3',plain,[-(in(8 ^ [], singleton(8 ^ []))), singleton(8 ^ []) = singleton(8 ^ []), 8 ^ [] = 8 ^ []],extension(8,bind([[_9980, _10112, _9922], [singleton(8 ^ []), 8 ^ [], 8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.1.3.1',plain,[-(singleton(8 ^ []) = singleton(8 ^ [])), 8 ^ [] = 8 ^ []],extension(2,bind([[_8497, _8546], [8 ^ [], 8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.1.3.1.1',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_5977], [8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.1.3.2',plain,[-(8 ^ [] = 8 ^ [])],extension(4,bind([[_5977], [8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.2',plain,[in(4 ^ [8 ^ [], singleton(8 ^ [])], 5 ^ [8 ^ [], singleton(8 ^ [])]), -(8 ^ [] = union(singleton(8 ^ []))), in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ []), in(5 ^ [8 ^ [], singleton(8 ^ [])], singleton(8 ^ []))],extension(14,bind([[_10933, _13879, _10864], [8 ^ [], 5 ^ [8 ^ [], singleton(8 ^ [])], singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.2.1',plain,[8 ^ [] = union(singleton(8 ^ []))],reduction('1.1')).
% 0.57/1.42 cnf('1.1.1.2.2',plain,[-(in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ [])), in(4 ^ [8 ^ [], singleton(8 ^ [])], 5 ^ [8 ^ [], singleton(8 ^ [])]), 4 ^ [8 ^ [], singleton(8 ^ [])] = 4 ^ [8 ^ [], singleton(8 ^ [])], 5 ^ [8 ^ [], singleton(8 ^ [])] = 8 ^ []],extension(6,bind([[_7214, _7281, _7347, _7412], [4 ^ [8 ^ [], singleton(8 ^ [])], 4 ^ [8 ^ [], singleton(8 ^ [])], 5 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.2.2.1',plain,[-(in(4 ^ [8 ^ [], singleton(8 ^ [])], 5 ^ [8 ^ [], singleton(8 ^ [])]))],reduction('1.1.1')).
% 0.57/1.42 cnf('1.1.1.2.2.2',plain,[-(4 ^ [8 ^ [], singleton(8 ^ [])] = 4 ^ [8 ^ [], singleton(8 ^ [])])],extension(4,bind([[_5977], [4 ^ [8 ^ [], singleton(8 ^ [])]]]))).
% 0.57/1.42 cnf('1.1.1.2.2.3',plain,[-(5 ^ [8 ^ [], singleton(8 ^ [])] = 8 ^ []), singleton(8 ^ []) = singleton(8 ^ []), in(5 ^ [8 ^ [], singleton(8 ^ [])], singleton(8 ^ []))],extension(7,bind([[_9922, _10112, _9980], [8 ^ [], 5 ^ [8 ^ [], singleton(8 ^ [])], singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.2.2.3.1',plain,[-(singleton(8 ^ []) = singleton(8 ^ []))],extension(4,bind([[_5977], [singleton(8 ^ [])]]))).
% 0.57/1.42 cnf('1.1.1.2.2.3.2',plain,[-(in(5 ^ [8 ^ [], singleton(8 ^ [])], singleton(8 ^ []))), -(8 ^ [] = union(singleton(8 ^ []))), -(in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ []))],extension(13,bind([[_10864, _10933], [singleton(8 ^ []), 8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.2.2.3.2.1',plain,[8 ^ [] = union(singleton(8 ^ []))],lemmata('1.1.1.2')).
% 0.57/1.42 cnf('1.1.1.2.2.3.2.2',plain,[in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ [])],lemmata('1.1.1')).
% 0.57/1.42 cnf('1.1.1.2.3',plain,[-(in(5 ^ [8 ^ [], singleton(8 ^ [])], singleton(8 ^ []))), -(8 ^ [] = union(singleton(8 ^ []))), -(in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ []))],extension(13,bind([[_10864, _10933], [singleton(8 ^ []), 8 ^ []]]))).
% 0.57/1.42 cnf('1.1.1.2.3.1',plain,[8 ^ [] = union(singleton(8 ^ []))],lemmata('1.1.1.2')).
% 0.57/1.42 cnf('1.1.1.2.3.2',plain,[in(4 ^ [8 ^ [], singleton(8 ^ [])], 8 ^ [])],lemmata('1.1.1')).
% 0.57/1.42 %-----------------------------------------------------
% 0.57/1.43
% 0.57/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------